Finding the Third Proportional to 10,735 and 23,980

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735 : 23,980 = 23,980 : x
2. Step 2: Convert to fraction form
   10,735/23,980 = 23,980/x
3. Step 3: Cross multiply
   10,735x = 23,980 × 23,980
4. Step 4: Simplify right side
   10,735x = 575,040,400
5. Step 5: Solve for x
   x = 575,040,400/10,735
6. Step 6: Final answer
   x = 53,566.87